AC9M7N02

represent natural numbers as products of powers of prime numbers using exponent notation

Elaborations

AC9M7N02_E1applying knowledge of factors to strategies for expressing natural numbers as products of powers of prime factors, such as repeated division by prime factors or creating factor trees; for example, 48=6×8=2×3×2×2×2=3^1×2^4=3×2^4
AC9M7N02_E2developing familiarity with the sequence 1, 2, 4, 8, 16, 32, 64, 128, 256, 512 and powers of 2; the sequence 1, 3, 9, 27, 81, 243, 729 and powers of 3; and the sequence 1, 5, 25, 125, 625 and powers of 5
AC9M7N02_E3solving problems involving lowest common multiples and greatest common divisors (highest common factors) for pairs of natural numbers by comparing their prime factorisation